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Finding the Fourth Proportional to 311,643.20, 467,464.80 and 258,499.10

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Solution

The fourth proportional to 311,643.20, 467,464.80 and 258,499.10 is: 387,748.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,643.20 : 467,464.80 = 258,499.10 : x
  2. Step 2: Convert to fraction form
    311,643.20/467,464.80 = 258,499.10/x
  3. Step 3: Cross multiply
    311,643.20x = 467,464.80 × 258,499.10
  4. Step 4: Simplify right side
    311,643.20x = 120,839,230,081.68
  5. Step 5: Solve for x
    x = 120,839,230,081.68/311,643.20
  6. Step 6: Final answer
    x = 387,748.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.